On estimation of the spectral measure of certain nonnormal operator stable laws
β Scribed by Hans-Peter Scheffler
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 93 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
For data belonging to the domain of normal attraction of nonnormal operator stable laws we present a strongly consistent estimate of the spectral measure. The cases of a known or unknown exponent are considered.
π SIMILAR VOLUMES
A new method is developed for estimating the spectral measure of a multivariate stable probability measure, by representing the measure as a sum of spherical harmonics.
We consider some properties of the spectral expansions related to selfadjoint extensions of the operator Hu -----u" + q(x)u over the whole line R in the case when q(x) is a continuous periodic function (the Hill operator) and in the case when q(x) is a bounded measurable function. This paper gives a